Visiting Research Fellow of the Institute of Industrial Science, The University of Tokyo, Japan, 2008.
Fellowship of the Royal Society of Edinburgh International Exchange Programme and Edinburgh Mathematical Society for visiting the Department of Mathematics, University of Strathclyde, Scotland, UK, 2008
"Outstanding Scientist" Award of the International Academy of Mathematical Chemistry, International Academy of Mathematical Chemistry, Dubrovnik, Croatia, 2007.
Elected as Full Member of the "International Academy of Mathematical Chemistry", Dubrovnik, Croatia, 2005.
"Ramón y Cajal" Research Contract. Ministry of Education and Culture, Spain, 2003-2008.
"Foreign Scientists and Technologist in Spain" Postdoctoral Fellowship, Ministry of Education and Culture, Spain, 2001-2002.
"Lisa Mietner-Minerva Institute for Computational Quantum Chemistry" Postdoctoral Fellowship, Hebrew University of Jerusalem, 1999-2000.
National Prize of the Cuban Academy of Science, Section of Natural Science, La Habana, Cuba, 1998.
"Una Nau de Solidaritat" Postdoctoral Fellowship, Regional Government of Valencia, Spain, 1997.
